DENSITY AND EQUIDISTRIBUTION OF ONE-SIDED HOROCYCLES OF A GEOMETRICALLY FINITE HYPERBOLIC SURFACE
Résumé
On geometrically finite negatively curved surfaces, we give necessary and sufficient conditions for a one-sided horocycle $(h^s u)_{s\ge 0}$ to be dense in the nonwandering set of the geodesic flow. We prove that all dense one-sided orbits $(h^su)_{s\ge 0}$ are equidistributed, extending results of [Bu] and [Scha2] where symmetric horocycles $(h^su)_{s\in\R}$ were considered.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...